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Finding the Third Proportional to 235,108 and 342,596

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Solution

The third proportional to 235,108 and 342,596 is: 499,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,108 : 342,596 = 342,596 : x
  2. Step 2: Convert to fraction form
    235,108/342,596 = 342,596/x
  3. Step 3: Cross multiply
    235,108x = 342,596 × 342,596
  4. Step 4: Simplify right side
    235,108x = 117,372,019,216
  5. Step 5: Solve for x
    x = 117,372,019,216/235,108
  6. Step 6: Final answer
    x = 499,225.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.